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SUMMARY:Path-complete Lyapunov techniques: when Algebra and Combinatorics 
 meet in Control - Raphaël Jungers\, Université catholique de Louvain\, B
 elgium
DTSTART:20151112T120000Z
DTEND:20151112T130000Z
UID:TALK62126@talks.cam.ac.uk
CONTACT:Tim Hughes
DESCRIPTION:I will present an overview of 'Path-complete techniques'\, whi
 ch have been developed to analyze stability properties of dynamical system
 s.  These tools rely on concepts from Mathematics\, Computer Science\, and
  Optimization.  Starting with the pioneering works of Bliman\, Ferrari-Tre
 cate\, Lee\, Dullerud\, Daafouz\, and others\, the full nature of path-com
 plete Lyapunov functions has been progressively understood in the last 20 
 years\, and their range of application is still widening. These Algebro-co
 mbinatorial techniques allow in favorable cases to obtain provably efficie
 nt algorithms (e.g. for switching systems stability analysis)\, and are pr
 omising for tackling much more general problems\, and much more general dy
 namical systems.\n\nIf time permits\, I will move to applications in the f
 ield of Wireless Control Networks\, where again\, algebraic and combinator
 ial arguments allow to push classical unfeasibility boundaries for switchi
 ng systems control.\n\nI will end by presenting some further questions and
  potential applications.\n\n\nShort bio:\n\nRaphaël Jungers is a FNRS Res
 earch Associate and Professor at the Université catholique de Louvain\, B
 elgium. His main interests lie in the fields of Computer Science\, Graph T
 heory\, Optimization and Control. He received a PhD in mathematical engine
 ering from the Université catholique de Louvain (2008)\, and an engineeri
 ng degree in applied mathematics\, both from the Ecole Centrale Paris\, Fr
 ance (2004)\, and from the Université catholique de Louvain (2005). He ho
 lds a minor degree in Electrical Engineering from the Université catholiq
 ue de Louvain (2005).\n\nHe has held various invited researcher positions\
 , at the Department of Computer Science of the Université Libre de Bruxel
 les (2008-2009)\, at the Laboratory for Information and Decision Systems o
 f the Massachusetts Institute of Technology (2009-2010)\, and at the Unive
 rsity of L’Aquila (2011\,2013).\n\nHe is a FNRS fellow and a BAEF fellow
 . He is an Associate Editor for the IEEE CSS Conference Editorial Board\, 
 and the journals NAHS\, Systems and Control Letters\, and IEEE Transaction
 s on Automatic Control.  He was the recipient of the IBM Belgium 2009 awar
 d and a finalist of the ERCIM Cor Baayen award 2011. He was the co-recipie
 nt of the SICON best paper award 2013-2014.
LOCATION:Cambridge University Engineering Department\, LR5
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